Thanks for the analysis, Scott. I think.
Knowing that my unfortunate streak of not hitting the flock of ducks has
been slightly worse than 5 times the odds of going Royal-less isn't much
comfort, though. 
- Brian in MI
Scott D. wrote:
Hitting only 4 ducks only once in 75,000 hands is rare as the chances
of this happening are about 1 in 282476. On the flip side of this
event is the lucky player who hits 2 natural royals 2 times in 120
hands which happens about 1 in 285540. I hope in the future you will
get to experience a nice event like that.
Sincerely Scott D.
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